A very simple criterion for characterizing the crossing direction of time-delay systems with delay-dependent parameters
Zaihua Wang
Abstract: In this paper, a very simple criterion has been established for checking the crossing direction of a characteristic root crossing the imaginary axis for a class of time-delay systems with delay-dependent parameters, an important topic both in stability analysis and Hopf bifurcation. The criterion uses two easy-to-obtain functions with clear physical meaning from the critical stability condition and it generalizes a popular result in the literature.
原文链接: https://www.worldscientific.com/doi/abs/10.1142/S0218127412500484
